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Quasinormal modes of the Schwarzschild black hole with arbitrary spin fields
Qiyuan Pan 1,Jiliang Jing 2 * #
1.Jiliang Jing
2.Hunan Normal University
*Correspondence author
#Submitted by
Subject:
Funding: 教育部博士点基金(No.20040542003)
Opened online:27 February 2006
Accepted by: none
Citation: Qiyuan Pan,Jiliang Jing.Quasinormal modes of the Schwarzschild black hole with arbitrary spin fields [OL]. [27 February 2006] http://en.paper.edu.cn/en_releasepaper/content/5393
 
 
The quasinormal modes (QNMs) associated with the decay of massless arbitrary spin fields around a Schwarzschild black hole are investigated by using the continued fraction method in a united form and their universal properties are found. It is shown that these QNMs become evenly spaced for large angular quantum number $l$ (for the boson perturbations) and $j$ (for the fermion perturbations) and the spacing is independent of the spin number $s$ and overtone number $n$, and in the complex plane they have an interesting trend which depends on $n$ before they become the same value with the increasing $l$ (or $j$). It is also shown that the angular quantum number has the surprising effect of increasing real part of the QNMs, but it almost does not affect imaginary part, especially for the lowest lying mode. In addition, the spacing for imaginary part of the QNMs at high overtones is equidistant and equals to $-i/4M$, which is independent of $l$ (or $j$) and $s$.
Keywords:Arbitrary spin fields, Quasinormal modes, Schwarzschild black hole
 
 
 

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